Talk:Alphatricot family

Other Alpha Tricot temperaments?

What should one call temperaments that divide 3/1 into 3, but have differently constituted generators from the temperaments in the Alphatricot family? And where should one put them?

Plausible other generators (from flat to sharp) include ~23/16, ~36/25, and ~13/9.

Far-out other generators (from flat to sharp) include ~62/43 and ~384/265. In particular, ~62/43 works without warts for the great majority of EDO values in the 17L 2s tuning spectrum table, and the few exceptions are able to benefit (according to a consistency point of view0 from a 'k' wart that makes it work for them as well. And while both of these have high primes, they arguably have lower overall complexity than the ~59049/40960 specified on the Alphatricot family page.

I've been working on building temperaments to support 17L 2s, currently in a section within the Musical Mad Science sub-page of my user page, although I'll admit up front that this is just coming out of the initial exploration phase and currently quite badly written (and at some point in the not-too-distant future I'm going to want to archive that and make it into something more readable, possibly in its own sub-sub-page).

Added: Lucius Chiaraviglio (talk) 19:06, 29 April 2025 (UTC)